Question

my angle looks like
a
c
b
d
b and c) list one positive and one negative coterminal angle. choose the two correct res
320°
−150°
510°
270°
−110⁰
30°
−170°
570°
d) find the reference angle:
270°
30°
570°
−150°
−170°
45°
−110⁰
60°

Explanation:

Step1: Identify the original angle

Assume the angle from graph B is \(210^\circ\) (third quadrant).

Step2: Calculate coterminal angles

Positive coterminal: \(210^\circ + 360^\circ = 570^\circ\)? No, check \(510^\circ = 210^\circ + 300^\circ\)? Wait, \(510^\circ - 360^\circ = 150^\circ\) (second quadrant, matches graph B's position). Negative coterminal: \(150^\circ - 360^\circ = -210^\circ\)? No, \( -170^\circ + 360^\circ = 190^\circ\)? Wait, reference angle for \(150^\circ\) is \(30^\circ\).

Step3: Find reference angle

For \(150^\circ\) (second quadrant), reference angle = \(180^\circ - 150^\circ = 30^\circ\).

Answer:

B. The angle graph in option B
510° and -170°
30°